The average speed of the molecules of a gas is 500 m s−1. The density of the gas is 1.2 kg m−3. Calculate, in kPa, the pressure of the gas.

Question

contestada

Respuesta :

haidang200812 haidang200812 · Answer 1 · 2024-04-13T14:59:20+02:00

Answer:

100 kPa

Explanation:

To calculate the pressure of the gas, we can use the kinetic theory of gases, which relates the

pressure of a gas to the average kinetic energy of its molecules.

The equation for pressure (P) in terms of density (p) and average speed (v) of gas molecules is:

P = x px v²

Given:

• Average speed of gas molecules, v= 500m/s

• Density of the gas, p = 1.2 kg/m³

We'll use these values to calculate the pressure:

P = 1/3 × 1.2 × (500)²

P = 1/3 x 1.2 x 250000

P = 100000 Pa

To convert from pascals (Pa) to kilopascals (kPa), we divide by 1000:

P= 100000/1000

P = 100 kPa

So, the pressure of the gas is 100 kPa